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asambeis [7]
1 year ago
9

Rationalize the denominator.

Mathematics
1 answer:
AlekseyPX1 year ago
4 0

Hello and Good Morning/Afternoon!

<u>Let's take this problem step-by-step</u>:

<u>What the problem asks for:</u>

  ⇒ to rationalize the denominator

      ⇒ rationalize means that you multiply the numerator and

          demonimator by the denominator

<u>Let's put that into action</u>:

    \frac{\sqrt{a +1}-2 }{\sqrt{a+1}+2 } * \frac{\sqrt{a +1}+2 }{\sqrt{a+1}+2 }\\=\frac{a +1-4 }{a+1+4\sqrt{a+1}+4  } \\=\frac{a-3}{a+4\sqrt{a+1}+5 }<== <u>Answer</u>

<u></u>

Hopefully that helps!

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At the city museum, child admission is $5.30 and adult admission is $9.20 . On Monday, 166 tickets were sold for a total sales o
Sonbull [250]
C+a=166
a=166-c
5.3c+9.2a=1254.2
5.3c+9.2(166-c)=1254.2
5.3c+1527.2-9.2c=1254.2
5.3c-9.2c=1254.2-1527.2
-3.9c=-273
c=-273/-3.9
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Hope this helps!

3 0
3 years ago
Write the product as a trinomial.(k – 1)(k – 4)
SashulF [63]
(k - 1)(k - 4)

Use FOIL to solve this.

First
k * k
Outer
k * -4
Inner
-1 * k
Last
-1 * -4

k^2 - 4k - 1k + 4

k^2 - 5k + 4 is the trinomial.
5 0
3 years ago
For the years between 1980 and 2012, the function c(x)=0.006x^3−0.48x^2+12.8x+85 approximates the number of countries that atten
Evgesh-ka [11]

Answer:

  199

Step-by-step explanation:

2004 is 24 years after 1980. The polynomial remainder theorem tells you the remainder from division by x-24 will be the function value c(24). We can find the remainder/function value by evaluating the function rewritten to Horner form:

  c(x) = ((0.006x -0.48)x +12.8)x +85

  c(24) = ((0.006(24) -0.48)(24) +12.8)(24) +85 = (-.336(24) +12.8)(24) +85

  = 4.736(24) +85 = 198.664

  c(24) ≈ 199

The approximate number of countries attending the 2004 Olympics was 199.

5 0
3 years ago
How many different lines of symmetry does a square have?
Sedaia [141]

Answer:

4

Step-by-step explanation:

8 0
2 years ago
What is 8/12 in simplest form
Pani-rosa [81]
8/12 in simplest form is 2/3.
5 0
3 years ago
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